Luis Santalo and classical field theory

GASTON GIRIBET; MARIANO GALVAGNO

European physics journal H

Springer

Año: 2019 vol. 44 p. 381 - 389

2102-6459

Considered one of the founding fathers of integral geometry, Luis Santaló has contributed to various areas of mathematics. His work has applications in number theory, in the theory of differential equations, in stochastic geometry, in functional analysis, and also in theoretical physics. Between the 1950´s and the 1970´s, he wrote a series of papers on general relativity and on the attempts at generalizing Einstein´s theory to formulate a unified field theory. His main contribution in this subject was to provide a classification theorem for the plethora of tensors that were populating Einstein´s generalized theory. This paper, which is the transcript of the conferences delivered by the authors in occasion of the celebration of the 100th anniversary of Luis Santaló´s birth, revisits his work on theoretical physics.